8617681 has 2 divisors, whose sum is σ = 8617682. Its totient is φ = 8617680.

The previous prime is 8617627. The next prime is 8617699. The reversal of 8617681 is 1867168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6713281 + 1904400 = 2591^2 + 1380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8617681 is a prime.

It is a super-2 number, since 2×8617681² = 148528851635522, which contains 22 as substring.

It is equal to p₅₇₈₅₆₆ and since 8617681 and 578566 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8617681.

It is not a weakly prime, because it can be changed into another prime (8617381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4308840 + 4308841.

It is an arithmetic number, because the mean of its divisors is an integer number (4308841).

Almost surely, 2^8617681 is an apocalyptic number.

It is an amenable number.

8617681 is a deficient number, since it is larger than the sum of its proper divisors (1).

8617681 is an equidigital number, since it uses as much as digits as its factorization.

8617681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 37.

The square root of 8617681 is about 2935.5886973485. The cubic root of 8617681 is about 205.0202716420.

The spelling of 8617681 in words is "eight million, six hundred seventeen thousand, six hundred eighty-one".